Pontryagin's maximum principle for optimal control of the stationary Navier–Stokes equations

2003 ◽  
Vol 52 (8) ◽  
pp. 1853-1866 ◽  
Author(s):  
Gengsheng Wang
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Stokes Equations ◽  
Pontryagin’S Maximum Principle ◽  
Navier Stokes ◽  
Pontryagin's Maximum Principle ◽  
Navier Stokes Equations ◽  
Stationary Navier Stokes Equations

Numerical resolution of optimal control problem for the in-stationary Navier–Stokes equations

2019 ◽  
Vol 27 (1) ◽  
pp. 43-52
Author(s):  
Jamil Satouri
Keyword(s):  
Optimal Control ◽  
Finite Elements ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Stokes Equations ◽  
Explicit Scheme ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Numerical Resolution ◽  
Stationary Navier Stokes Equations

Abstract In this paper we present a study of optimal control problem for the unsteady Navier–Stokes equations. We discuss the existence of the solution, adopt a new numerical resolution for this problem and combine Euler explicit scheme in time and both of methods spectral and finite elements in space. Finally, we give some numerical results proving the effectiveness of our approach.

Sign in / Sign up

Export Citation Format

Share Document